AC Transport at Holographic Quantum Hall Transitions

TL;DR

This paper uses holographic duality to compute AC transport properties at quantum Hall critical points, revealing universal behaviors and matching previous field theory results, thus advancing understanding of quantum Hall transitions.

Contribution

It provides new holographic calculations of AC transport at quantum Hall critical points, demonstrating universality and comparing favorably with prior field theory work.

Findings

High frequency AC conductivities are universal across the class of models.

Holographic results agree well with previous field theory computations.

General formulas for DC Hall and longitudinal conductivities are derived.

Abstract

We compute AC electrical transport at quantum Hall critical points, as modeled by intersecting branes and gauge/gravity duality. We compare our results with a previous field theory computation by Sachdev, and find unexpectedly good agreement. We also give general results for DC Hall and longitudinal conductivities valid for a wide class of quantum Hall transitions, as well as (semi)analytical results for AC quantities in special limits. Our results exhibit a surprising degree of universality; for example, we find that the high frequency behavior, including subleading behavior, is identical for our entire class of theories.